MATH-535 / 5 crédits

Enseignant: Carocci Francesca

Langue: Anglais

## Summary

Algebraic curves and surfaces are the first examples of algebraic varieties to consider. In this course we will study classical topics in the theory of algebraic curves and surfaces applying methods of schemes and cohomology. The course will include many explicit examples and calculations.

## Required courses

• Linear algebra,
• Théorie des groupes
• Anneaux et corps
• Rings and Modules
• Modern Algebraic geometry

## Recommended courses

• Topology I & II
• Algebraic topology
• Differential geometry
• Algebraic number theory

## Learning Outcomes

By the end of the course, the student must be able to:

• Analyze basic problems in algebraic geometry of curves and surfaces and solve them.

## Teaching methods

Ex cathedra lecture with exercises

## Assessment methods

The final grade will be assigned based on the cummulative points of the student obtained from handed in homework solutions and from the written exam. The weights of the two parts are:

30% - homework

70 % - written exam

The homework will be required to hand in any other week.

Dans le cas de l’art. 3 al. 5 du Règlement de section, l’enseignant décide de la forme de l’examen qu’il communique aux étudiants concernés

## Dans les plans d'études

• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Topics in algebraic geometry
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Topics in algebraic geometry
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Topics in algebraic geometry
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22